Find the domain of `f(x)=(log)_(10)(log)_2(log)_(pi/2)(t a n^(-1)x)^(-1)`

Explanation

We must have
`log_(2)log_(2//pi)(tan^(-1)x)^(-1) gt 0`
or `log_(2//pi)(tan^(-1)x)^(-1) gt 1`
or `0 lt (tan^(-1)x)^(-1) lt (2)/(pi)`
or `(pi)/(2) lt tan^(-1)x lt oo`, which is not possible . Hence, the domain is `phi`.